Exact solution of the one-dimensional J sup 2 model of superconducting networks in a magnetic field

Journal Article · Fri May 01 00:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.45.9887· OSTI ID:7234611

Griffiths, R B ^[1]; Floria, L M ^[2]

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1. Institut des Hautes Etudes Scientifiques, 91440 Bures-sur-Yvette (France) Service de Physique Theorique, Centre d'Etudes Nucleaires de Saclay, 91191 Gif-sur-Yvette (France)
2. Instituto de Ciencia de Materiales de Aragon, Consejo Superior de Investigaciones Cientificas, Universidad de Zaragoza, 50009 Zaragoza (Spain)

A simplified one-dimensional model of certain nonperiodic networks of superconducting wires in a magnetic field, introduced by Grest, Chaikin, and Levine, is solved exactly by reducing it to a mathematical problem involving Fourier transforms of one-dimensional sequences. Explicit results are obtained for some particular cases including that of the Fibonacci sequence'' considered by them. Inflation symmetry appears to play no significant role; the crucial question is the existence and structure of a discrete spectrum in the Fourier transform.

• OSTI ID: 7234611
• Journal Information: Physical Review, B: Condensed Matter; (United States), Vol. 45:17; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SUPERCONDUCTING WIRES
NETWORK ANALYSIS
ANALYTICAL SOLUTION
ELECTRIC CURRENTS
FOURIER TRANSFORMATION
GROUND STATES
ONE-DIMENSIONAL CALCULATIONS
SYMMETRY
CURRENTS
ENERGY LEVELS
INTEGRAL TRANSFORMATIONS
TRANSFORMATIONS
WIRES
665411* - Basic Superconductivity Studies- (1992-)